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Finding the Third Proportional to 227,490 and 356,832

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Solution

The third proportional to 227,490 and 356,832 is: 559,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,490 : 356,832 = 356,832 : x
  2. Step 2: Convert to fraction form
    227,490/356,832 = 356,832/x
  3. Step 3: Cross multiply
    227,490x = 356,832 × 356,832
  4. Step 4: Simplify right side
    227,490x = 127,329,076,224
  5. Step 5: Solve for x
    x = 127,329,076,224/227,490
  6. Step 6: Final answer
    x = 559,712.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.